Skip to main content

Addition

math_utils

Struct Addition 

Source 
pub struct Addition;
Expand description

Operation witness type for AdditiveGroups and AdditiveMonoids

Trait Implementations§

Source§

impl Debug for Addition

Source§

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more
Source§

impl Eq for Addition

Source§

impl<G: AdditiveGroup> Group<G> for Addition

Source§

fn inverse(elem: G) -> G

Source§

impl<S> GroupAction<Addition, Point2<S>> for Vector2<S>
where S: AdditiveGroup,

Source§

impl<S> GroupAction<Addition, Point3<S>> for Vector3<S>
where S: AdditiveGroup,

Source§

impl<S> GroupAction<Addition, Point4<S>> for Vector4<S>
where S: AdditiveGroup,

Source§

impl<S, U> GroupAction<Addition, Position2<S, U>> for Displacement2<S, U>
where S: AdditiveGroup,

Source§

impl<S, U> GroupAction<Addition, Position3<S, U>> for Displacement3<S, U>
where S: AdditiveGroup,

Source§

impl<S, U> GroupAction<Addition, Position4<S, U>> for Displacement4<S, U>
where S: AdditiveGroup,

Source§

impl<M: AdditiveMonoid> Monoid<M> for Addition

Source§

fn identity() -> M

Identity element
Source§

impl<S> MonoidAction<Addition, Point2<S>> for Vector2<S>
where S: AdditiveGroup,

Source§

impl<S> MonoidAction<Addition, Point3<S>> for Vector3<S>
where S: AdditiveGroup,

Source§

impl<S> MonoidAction<Addition, Point4<S>> for Vector4<S>
where S: AdditiveGroup,

Source§

impl<S, U> MonoidAction<Addition, Position2<S, U>> for Displacement2<S, U>
where S: AdditiveGroup,

Source§

impl<S, U> MonoidAction<Addition, Position3<S, U>> for Displacement3<S, U>
where S: AdditiveGroup,

Source§

impl<S, U> MonoidAction<Addition, Position4<S, U>> for Displacement4<S, U>
where S: AdditiveGroup,

Source§

impl PartialEq for Addition

Source§

fn eq(&self, other: &Addition) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 (const: unstable) · Source§

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
Source§

impl<S: Add<Output = S>> Semigroup<S> for Addition

Source§

fn operation(a: S, b: S) -> S

Associative operation
Source§

impl<S> SemigroupAction<Addition, Point2<S>> for Vector2<S>
where S: AdditiveGroup,

Source§

fn action(self, point: Point2<S>) -> Point2<S>

Source§

impl<S> SemigroupAction<Addition, Point3<S>> for Vector3<S>
where S: AdditiveGroup,

Source§

fn action(self, point: Point3<S>) -> Point3<S>

Source§

impl<S> SemigroupAction<Addition, Point4<S>> for Vector4<S>
where S: AdditiveGroup,

Source§

fn action(self, point: Point4<S>) -> Point4<S>

Source§

impl<S, U> SemigroupAction<Addition, Position2<S, U>> for Displacement2<S, U>
where S: AdditiveGroup,

Source§

fn action(self, position: Position2<S, U>) -> Position2<S, U>

Source§

impl<S, U> SemigroupAction<Addition, Position3<S, U>> for Displacement3<S, U>
where S: AdditiveGroup,

Source§

fn action(self, position: Position3<S, U>) -> Position3<S, U>

Source§

impl<S, U> SemigroupAction<Addition, Position4<S, U>> for Displacement4<S, U>
where S: AdditiveGroup,

Source§

fn action(self, position: Position4<S, U>) -> Position4<S, U>

Source§

impl StructuralPartialEq for Addition

Auto Trait Implementations§

Blanket Implementations§

Source§

impl<T> Any for T
where T: 'static + ?Sized,

Source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
Source§

impl<T> Az for T

Source§

fn az<Dst>(self) -> Dst
where T: Cast<Dst>,

Casts the value.
Source§

impl<T> Borrow<T> for T
where T: ?Sized,

Source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
Source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

Source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
Source§

impl<Src, Dst> CastFrom<Src> for Dst
where Src: Cast<Dst>,

Source§

fn cast_from(src: Src) -> Dst

Casts the value.
Source§

impl<T> CheckedAs for T

Source§

fn checked_as<Dst>(self) -> Option<Dst>
where T: CheckedCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> CheckedCastFrom<Src> for Dst
where Src: CheckedCast<Dst>,

Source§

fn checked_cast_from(src: Src) -> Option<Dst>

Casts the value.
Source§

impl<T> From<T> for T

Source§

fn from(t: T) -> T

Returns the argument unchanged.

Source§

impl<T> GroupAction<Addition, T> for T
where T: MonoidAction<Addition, T>, Addition: Group<T>,

Source§

impl<T, U> Into<U> for T
where U: From<T>,

Source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Source§

impl<T> IntoEither for T

Source§

fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
Source§

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
Source§

impl<Src, Dst> LosslessTryInto<Dst> for Src
where Dst: LosslessTryFrom<Src>,

Source§

fn lossless_try_into(self) -> Option<Dst>

Performs the conversion.
Source§

impl<Src, Dst> LossyInto<Dst> for Src
where Dst: LossyFrom<Src>,

Source§

fn lossy_into(self) -> Dst

Performs the conversion.
Source§

impl<T> MaybeSerDes for T

Source§

impl<T> MonoidAction<Addition, T> for T
where T: SemigroupAction<Addition, T>, Addition: Monoid<T>,

Source§

impl<T> OverflowingAs for T

Source§

fn overflowing_as<Dst>(self) -> (Dst, bool)
where T: OverflowingCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> OverflowingCastFrom<Src> for Dst
where Src: OverflowingCast<Dst>,

Source§

fn overflowing_cast_from(src: Src) -> (Dst, bool)

Casts the value.
Source§

impl<T> Same for T

Source§

type Output = T

Should always be Self
Source§

impl<T> SaturatingAs for T

Source§

fn saturating_as<Dst>(self) -> Dst
where T: SaturatingCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> SaturatingCastFrom<Src> for Dst
where Src: SaturatingCast<Dst>,

Source§

fn saturating_cast_from(src: Src) -> Dst

Casts the value.
Source§

impl<T> SemigroupAction<Addition, T> for T
where Addition: Semigroup<T>,

Source§

fn action(self, g: T) -> T

Source§

impl<T> StrictAs for T

Source§

fn strict_as<Dst>(self) -> Dst
where T: StrictCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> StrictCastFrom<Src> for Dst
where Src: StrictCast<Dst>,

Source§

fn strict_cast_from(src: Src) -> Dst

Casts the value.
Source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

Source§

type Error = Infallible

The type returned in the event of a conversion error.
Source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
Source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

Source§

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
Source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
Source§

impl<T> UnwrappedAs for T

Source§

fn unwrapped_as<Dst>(self) -> Dst
where T: UnwrappedCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> UnwrappedCastFrom<Src> for Dst
where Src: UnwrappedCast<Dst>,

Source§

fn unwrapped_cast_from(src: Src) -> Dst

Casts the value.
Source§

impl<T> WrappingAs for T

Source§

fn wrapping_as<Dst>(self) -> Dst
where T: WrappingCast<Dst>,

Casts the value.
Source§

impl<Src, Dst> WrappingCastFrom<Src> for Dst
where Src: WrappingCast<Dst>,

Source§

fn wrapping_cast_from(src: Src) -> Dst

Casts the value.